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The Finite Irreducible Monomial Linear Groups of Degree 4

✍ Scribed by D.L Flannery

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
237 KB
Volume
218
Category
Article
ISSN
0021-8693

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✦ Synopsis

This paper contains an irredundant listing of the finite irreducible monomial Ε½ . subgroups of GL 4, ‫ރ‬ . The groups are listed up to conjugacy and are given explicitly by generating sets of monomial matrices.

πŸ“œ SIMILAR VOLUMES

Finite Irreducible Imprimitive Nonmonomi
Finite Irreducible Imprimitive Nonmonomial Complex Linear Groups of Degree 4
✍ Burkhard HΓΆfling πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 362 KB

The article contains a classification of the groups indicated in the title, consisting of a parametrised list of groups, each relevant group being conjugate in GL 4 to precisely one group on the list (and each group on the list being relevant). Each group on this list is given by a generating set of

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The Irreducible Brauer Characters of the Finite Special Linear Groups in Non-describing Characteristics
✍ Jochen Gruber πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 357 KB

The irreducible Brauer characters of SL q are investigated for primes l not n Ε½ . dividing q. They are described in terms of a set of ordinary characters of SL q n whose reductions modulo l are a generating set of the additive group of generalized Brauer characters and the decomposition numbers of t